Stability analysis of stochastic networked control systems
In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet dropouts and communication constraints. The transmission intervals and transmission delays are described by a sequence of contin...
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| Published in | Automatica (Oxford) Vol. 48; no. 5; pp. 917 - 925 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Kidlington
Elsevier Ltd
01.05.2012
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0005-1098 1873-2836 |
| DOI | 10.1016/j.automatica.2012.02.029 |
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| Abstract | In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet dropouts and communication constraints. The transmission intervals and transmission delays are described by a sequence of continuous random variables. The complexity that the continuous character of these random variables introduces is overcome using a novel convex overapproximation technique that preserves the available probabilistic information. By focusing on linear plants and controllers, we present a modelling framework for NCSs based on discrete-time linear switched and parameter-varying systems. Stability (in the mean-square) of these systems is analysed using a new stochastic computational technique, resulting in a finite number of linear matrix inequalities. We illustrate the developed theory on the benchmark example of a batch reactor. |
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| AbstractList | In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet dropouts and communication constraints. The transmission intervals and transmission delays are described by a sequence of continuous random variables. The complexity that the continuous character of these random variables introduces is overcome using a novel convex overapproximation technique that preserves the available probabilistic information. By focusing on linear plants and controllers, we present a modelling framework for NCSs based on discrete-time linear switched and parameter-varying systems. Stability (in the mean-square) of these systems is analysed using a new stochastic computational technique, resulting in a finite number of linear matrix inequalities. We illustrate the developed theory on the benchmark example of a batch reactor. |
| Author | Shneer, V. Heemels, W.P.M.H. Bernardini, D. Bemporad, A. Donkers, M.C.F. |
| Author_xml | – sequence: 1 givenname: M.C.F. surname: Donkers fullname: Donkers, M.C.F. email: m.c.f.donkers@tue.nl organization: Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands – sequence: 2 givenname: W.P.M.H. surname: Heemels fullname: Heemels, W.P.M.H. email: m.heemels@tue.nl organization: Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands – sequence: 3 givenname: D. surname: Bernardini fullname: Bernardini, D. email: daniele.bernardini@ing.unitn.it organization: Department of Mechanical and Structural Engineering, University of Trento, Via Mesiano 77, 38100 Trento, Italy – sequence: 4 givenname: A. surname: Bemporad fullname: Bemporad, A. email: alberto.bemporad@imtlucca.it organization: IMT Institute for Advanced Studies Lucca, Piazza San Ponziano 6, 55100 Lucca, Italy – sequence: 5 givenname: V. surname: Shneer fullname: Shneer, V. email: v.shneer@hw.ac.uk organization: School of Mathematical and Computer Sciences, Heriot–Watt University, Edinburgh EH14 4AS, UK |
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| Keywords | Switched systems Stochastic control Communication protocols Networked control systems Parameter-varying systems Linear control Modeling Hybrid system Time varying system Chemical reactor Network analysis Linear matrix inequality Time interval Random variable Multimodel control Packet switching Statistical analysis Probabilistic approach Transmission protocol Stochastic stability Delay system Distributed system Transmission time Random sequence Stochastic analysis Discrete time Distributed control |
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| SubjectTerms | Applied sciences Communication protocols Computer science; control theory; systems Computer systems and distributed systems. User interface Control system analysis Control systems Control theory. Systems Delay Exact sciences and technology Focusing Intervals Networked control systems Parameter-varying systems Preserves Random variables Software Stability Stochastic control Stochasticity Switched systems System theory |
| Title | Stability analysis of stochastic networked control systems |
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